9. (a) Evaluate fFdR where F = 4zi - 2rj+2rk, and C is the intersection of the cylinder 1² + y² = 1 and the plane 2y+ 1 (oriented counter clockwise as seen by a person standing on the plane). (b) Verify (a) by using Stokes' Theorem.

Find the parametric equations for the line through the point of intersection of the lines L,:x = 2 +t,y = 5t,z = 2 +t and L2:x= -1+2t,y = 6 + 3t,z = 11 – 2t and perpendicular to the plane 3x – 4y+2z= 7

Integrate trinometric functions

A) Find an equation of a line tangent the circle of radius 3 with its center P(1, 3, 4) located in a plane parallel to the xy-plane at t = 2n. 2. B) Calculate velocity and acceleration for a particle travelling on the circle of radius 3 with its center P(1, 3, 4) located in a plane parallel to the xy-plane at t = 2n. C) The Projection of u along v is - 3. Calculate the projection of acceleration along velocity at t = 2n.